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Simplifying 7x + -38 = 6(x + -5) Reorder the terms: -38 + 7x = 6(x + -5) Reorder the terms: -38 + 7x = 6(-5 + x) -38 + 7x = (-5 * 6 + x * 6) -38 + 7x = (-30 + 6x) Solving -38 + 7x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -38 + 7x + -6x = -30 + 6x + -6x Combine like terms: 7x + -6x = 1x -38 + 1x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -38 + 1x = -30 + 0 -38 + 1x = -30 Add '38' to each side of the equation. -38 + 38 + 1x = -30 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = -30 + 38 1x = -30 + 38 Combine like terms: -30 + 38 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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